Raj's conjecture is valid i.e an even number times an even or odd number will always be even.
Even numbers are number that can be divided by 2 without leaving a remainder. Examples are: 4, 6, 8, 20, 50 etc. While odd numbers can not be divided evenly by 2. Examples are: 7, 11, 17, etc
Thus, the conjecture can be proved as follows:
i. Even number times an even number
- 4 x 12 = 48
- 6 x 8 = 48
- 2 x 10 = 20
- 12 x 16 = 192
Thus, an even number multiplied by an even number would give an even number.
ii. Even number times an odd number
- 4 x 11 = 44
- 6 x 5 = 30
- 2 x 7 = 14
- 8 x 17 = 136
- Thus, an even number multiplied by an odd number would always give an even number.
Therefore, Raj's conjecture is valid.
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Answer:
The answer is option C: dominant strategy
Step-by-step explanation:
As per the given scenario, for the first player, Strategy X is called a dominant strategy.
A strategy is called dominant in any game, when that particular strategy earns a player a larger share of points or playoffs as compared to other players and this does not depend on what other players are selecting or doing.
If one strategy is dominant then all other players and strategies are dominated.
Answer:
12.8% decrease
Step-by-step explanation:
if you find the unit rate for the sale, which would be 125 cents divided by 3 cans, equals around 43.6 cents per can. 43.6 cents is an x% decrease of 50 cents, and to find x easily i multiplied by 2. 43.6 x 2=87.2, and 50 x 2 = 100. that means that the sale price is 87.2 % of the original price, which is a 12.8% decrease.
Answer:
first one is correct and second also but in third it is incorrect and fourth is correct so C is incorrect